Sjmarf
AceticonNeatly showing why when all you have is two data points you can’t just assume the best fit function for extrapolation is a linear one.
Mind you, a surprisingly large number of political comments is anchored in exactly that logic.
Doubling every three months is an exponential Interpolation and not a linear one!
Good point and well spotted!
By tweaking a few parameters you can turn every base into any other base for exponentials. Just use e^(ln(b)*x)
By that definition you can turn any linear function a * x + b, “exponential” by making it e ^ln(a*x +b).
It doesn’t matter if you divide ln(2) or x by three, it’s the same thing.
Get a room you two
PPS: Found it - it’s a “geometric progression”.
A terminology that I learned from the Terminator 2 movie. Only that was, I think, a “geometric rate”.
Chessboard and rice
One of the best mathematic stories from ancient times, IMHO,